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Finding the Third Proportional to 5,617.69 and 12,106.13

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Solution

The third proportional to 5,617.69 and 12,106.13 is: 26,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.69 : 12,106.13 = 12,106.13 : x
  2. Step 2: Convert to fraction form
    5,617.69/12,106.13 = 12,106.13/x
  3. Step 3: Cross multiply
    5,617.69x = 12,106.13 × 12,106.13
  4. Step 4: Simplify right side
    5,617.69x = 146,558,262.52
  5. Step 5: Solve for x
    x = 146,558,262.52/5,617.69
  6. Step 6: Final answer
    x = 26,088.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.